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N-dimensional Newton methodJDefine the Jacobi matrix:i,j fi( x)( x) xj x x J f xMust be non-singularandalso well-conditionedfor numerical inversion. 1( )n1n n82System of linear equationsb 11 x 1 +. . . . + b 1N x N = c 1. . . . . .. . . . . .b N1 x 1 + . . . + b NN x N = c N Bxcsolution:x B1c83
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